Algebra question

[Daiga]

A number divided by 47, the remainder is 1
Same number divided by 48, the remainder is 2
Same number divided by 49, the remainder is 3

How do you calculate this number

 

[Zermelo]

A number divided by 47, the remainder is 1
Same number divided by 48, the remainder is 2
Same number divided by 49, the remainder is 3

How do you calculate this number

Have you learned about congruences? You have to give us some context, are you doing this in school/university, what course is this etc etc, because we can easily give you a solution, but the important thing is for you to understand the process

 

[Steven G]

This is a help forum where we help students solve their problems. We never solve problems for students on this forum.
Here are some hints.
Let x be the number.
x = 47r + 1 for some natural number r.
x = 48s + 2 for some natural number s
x = 49t + 3 for some natural number t